122312113644 has 96 divisors (see below), whose sum is σ = 334233349632. Its totient is φ = 34082496000.

The previous prime is 122312113631. The next prime is 122312113657. The reversal of 122312113644 is 446311213221.

It is an interprime number because it is at equal distance from previous prime (122312113631) and next prime (122312113657).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19045554 + ... + 19051974.

It is an arithmetic number, because the mean of its divisors is an integer number (3481597392).

Almost surely, 2^122312113644 is an apocalyptic number.

122312113644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312113644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167116674816).

122312113644 is an abundant number, since it is smaller than the sum of its proper divisors (211921235988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122312113644 is a wasteful number, since it uses less digits than its factorization.

122312113644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12007 (or 12005 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 122312113644 its reverse (446311213221), we get a palindrome (568623326865).

The spelling of 122312113644 in words is "one hundred twenty-two billion, three hundred twelve million, one hundred thirteen thousand, six hundred forty-four".